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Estimates of global bounds for some Schrödinger heat kernels on manifolds. (English) Zbl 0985.35016

The authors study global bounds on heat kernels on manifolds. In particular, the question of whether Gaussian bounds exist is discussed in some detail.

MSC:

35J10 Schrödinger operator, Schrödinger equation
35K10 Second-order parabolic equations
58J35 Heat and other parabolic equation methods for PDEs on manifolds

Keywords:

Gaussian bounds
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